Answer:
Step-by-step explanation:
(a)
For the quadratic equation of the form ,
The discriminant is given as:
Simplifying the given quadratic equation:
[(x-7)^2] - 62 = 19
∴ (x^2) - 14x + 49 = 81
∴ (x^2) - 14x - 32 = 0
Comparing with the standard form of quadratic equation:
a = 1; b = -14; c = -32
∴ Discriminant = (b^2) - 4ac = 196 + 128 = 324
Since Discriminant > 0,
The roots will be real and distinct.
(b)
This equation can be factored as:
(x - 16)(x + 2) = 0;
∴ x = 16 ; x = -2, are the two roots of the equation.
Answer:
This is simple subtraction, considering the time span is only 5 weeks.
$1,100 - $250 = $850
So, at the end of the five weeks his new balance is <em><u>$850</u></em>
Answer:
Step-by-step explanation:
- 2· + 20 = 32
- 2· = 12
- = 6
- (v + 4) log 4 = log 6
- v + 4 = log 6 / log 4
- v + 4 = 1.29 (<em>rounded</em>)
- v = 1.29 - 4
- v = - 2.71